EGE (Russia) 1-Year Plan

Nouns (gender, number, case), adjectives, pronouns, numerals, verbs (aspect, mood, tense, conjugation), adverbs, prepositions, and conjunctions. Grammatical case system mastery is essential.

Simple and compound sentences, complex sentences with subordinate clauses (subject, predicate, attributive, adverbial), sentence analysis, and punctuation rules — the most heavily weighted grammar section.

Lexical norms, antonyms, synonyms, paronyms, derivational morphology, root words, prefixes, and suffixes. Vocabulary is tested through contextual word usage and word-building tasks.

Understanding and interpreting literary and publicistic texts, identifying the main idea, author's intent, composition structure, and types of speech (narrative, descriptive, argumentative).

Rules of essay composition (introduction, thesis, arguments, conclusion), different speech styles (colloquial, literary, scientific), register, and coherence in written expression.

Russian alphabet, sound-letter correspondence, stress rules, spelling conventions, and phonetic analysis. EGE tests accurate spelling and pronunciation in the written exam component.

Correct use of commas, periods, colons, semicolons, dashes, quotation marks, parentheses, and capitalization rules in Russian orthography — frequently tested in part C of the exam.

Limits, derivatives of all function types, chain rule, implicit differentiation, higher-order derivatives, and applications (tangents, normals, monotonicity, extrema). The highest-weight EGE mathematics topic.

Indefinite and definite integrals, substitution, integration by parts, partial fractions, area under curves, and applications of integration. EGE's second most important calculus topic.

Linear equations, quadratic equations, progressions (AP, GP), polynomials, binomial theorem, complex numbers, permutations and combinations, and number theory fundamentals — the most heavily weighted algebra section in EGE.

Domain and range, even/odd functions, inverse functions, composite functions, exponential and logarithmic functions, and graphing techniques for all function types — essential for EGE calculus problems.

All six trig functions, identities, inverse trig, solving trig equations, and applications to geometry. EGE tests trig heavily within calculus and geometry contexts.

Triangles, circles, quadrilaterals, polygons, angles, chords, tangents, and inscribed/circumscribed figures. Tests geometric reasoning and theorem application.

Prisms, pyramids, cylinders, cones, spheres, and composite solids. Volume, surface area, and cross-sections. Spatial visualization and theorem-based problem solving.

Vector operations, dot and cross product, lines and planes in space, conic sections (parabola, ellipse, hyperbola), and coordinate geometry transformations.